Moanin' Low: A Discography of Female Popular Recordings, 1920-1933 (Greenwood Press, 1997) by Ross Laird notes the following recording by "Rae Bourbon". If it is Bourbon, it probably represents his first recording; it was almost certainly never released.
These two recordings may have been unreleased, although "My Swimming Lesson" was possibly released as "First Swimming Lesson", WESTERN RECORD CO. BOURBANA WR-717 A. "My Harmony Man" might very well have been retitled as one of the WESTERN RECORD CO. BOURBANA releases as well, but the similarity of these titles to "Trombone Trixie/Her First Lesson" (LIBERTY MUSIC SHOP L-209) is to be noted.